Technically, the Seven Deadly Sins don't exist in the Bible. Proverbs 6 does mention six sins that God hates, seven that He finds detestable.
"There are six things the Lord hates, seven that are detestable to him: haughty eyes, a lying tongue, hands that shed innocent blood, a heart that devises wicked schemes, feet that are quick to rush into evil, a false witness who pours out lies and a person who stirs up conflict in the community."
As you can see, gluttony is not mentioned in this passage. Gluttony, and surrounding subject matter, is mentioned in a number of places:
Philippians 3:19
Proverbs 23:20, 21
Proverbs 23:2
Proverbs 25:16
1 Corinthians 3:16, 17
Psalm 78:18
Deuteronomy 21:20
1 Corinthians 6:12 (Being enslaved by something, e.g. gluttony)
... and, of course, many more.